Coordinate Geometry Question 49

Question: The equations of the sides of a triangle are $ x+y-5=0;\ $

$ x-y+1=0 $ and $ y-1=0, $ then the coordinates of the circumcentre are

[MP PET 1996]

Options:

A) (2, 1)

B) (1, 2)

C) (2, -2)

D) (1, -2)

Show Answer

Answer:

Correct Answer: A

Solution:

Since the triangle is right angled so the circumcentre will be the middle point of hypotenuse i.e. (2, 1).